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Finding the Fourth Proportional to 95,277, 142,921.49 and 32,091.96

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Solution

The fourth proportional to 95,277, 142,921.49 and 32,091.96 is: 48,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,277 : 142,921.49 = 32,091.96 : x
  2. Step 2: Convert to fraction form
    95,277/142,921.49 = 32,091.96/x
  3. Step 3: Cross multiply
    95,277x = 142,921.49 × 32,091.96
  4. Step 4: Simplify right side
    95,277x = 4,586,630,740.22
  5. Step 5: Solve for x
    x = 4,586,630,740.22/95,277
  6. Step 6: Final answer
    x = 48,139.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.